27 citations · 281 across the 47 of their papers we have counts for
48 papers
The spectral -function of Sturm--Liouville operators with generalized point potentials
Guglielmo Fucci, Jonathan Stanfill
This work analyzes the spectral zeta function associated with regular and singular Sturm--Liouville operators endowed with generalized point potentials. The point interactions…
Complex analytic theory of Sturm-Liouville operators with Schatten -class resolvents
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
We use the theory of entire functions of finite order to prove a universal spectral dependence of the blowup/decay rate of solutions of the Sturm-Liouville eigenvalue equation for…
-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
This work develops an analytic framework for the study of the -function associated with general sequences of complex numbers. We show that a contour integral representation, com…
The exotic structure of the spectral -function for the Schrödinger operator with Pöschl--Teller potential
Guglielmo Fucci, Jonathan Stanfill
This work focuses on the analysis of the spectral -function associated with a Schrödinger operator endowed with a Pöschl--Teller potential. We construct the spectral -functio…
The spectral -function for quasi-regular Sturm--Liouville operators
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
In this work we analyze the spectral -function associated with the self-adjoint extensions, , of quasi-regular Sturm--Liouville operators that are bounded from below. B…
Vacuum energy of scalar fields on spherical shells with general matching conditions
Guglielmo Fucci, César Romaniega Sancho
In this work we analyze the spectral zeta function for massless scalar fields propagating in a -dimensional flat space under the influence of a shell potential. The shell potent…